1.Explain the purposes of inductive and deductive reasoning in
mathematics. Be sure to define both inductive
reasoning and deductive reasoning and describe how each can help you develop
and prove theorems.

(7 points)

2.Start with the following statement.

Vertical angles are
congruent.

a. State the conditional in if-then form and the
three other forms of the statement.

b. If you know that a statement is true, what do
you know about the truth of its converse, inverse, and contrapositive?